Lattice Boltzmann method for viscoelastic fluids.

Lattice Boltzmann method for viscoelastic fluids.
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粘弹性流体的格子玻尔兹曼方法

DOI:
10.1103/physreve.65.056704
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发表时间:
2014
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
C. Körner
C. Körner
中科院分区:
--
文献类型:
--
作者:
F. Osmanlic;C. Körner

文献摘要

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提出了一种用于粘弹性流体模拟的格子Boltzmann模型。弹性效应考虑到一个麦克斯韦模型的框架内。为了测试的方法,我们估计的横向速度自相关函数的自由发展的系统,并找到清晰的表现在大频率的剪切。然后,我们的特点边界驱动的剪切波,并在一个周期性驱动的流体限制在毛细管内的剪切振荡的共振增强。测量的剪切波色散关系进行了比较,从Navier-Stokes方程与麦克斯韦粘弹性项,并获得良好的协议。
A lattice Boltzmann model for viscoelastic flow simulation is proposed. Elastic effects are taken into account within the framework of a Maxwell model. To test the approach, we estimate the transverse velocity autocorrelation function for a freely evolving system, and find clear manifestations of shear at large frequencies. We then characterize boundary-driven shear waves, and the resonant enhancement of shear oscillations in a periodically driven fluid confined within a capillary. The measured shear-wave dispersion relation is compared to that obtained from the Navier-Stokes equation with a Maxwell viscoelastic term, and good agreement is obtained.